Skip to main content

On the isothermal motion of a phase interface

  • 2. Phasetransition and Dynamics
  • Conference paper
  • First Online:
Problems Involving Change of Type

Part of the book series: Lecture Notes in Physics ((LNP,volume 359))

  • 155 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gurtin, M. E., Multiphase thermomechanics with interfacial structure. 1. Heat conduction and the capillary balance law. Arch. Rational Mech. Anal. 104, 195–221 (1988).

    Google Scholar 

  2. Gurtin, M. E., On the two-phase Stefan problem with interfacial energy and entropy, Arch. Rational Mech. Anal. 96, 199–241 (1986).

    Google Scholar 

  3. Gurtin, M. E., Toward a nonequilibrium thermodynamics of two phase materials, Arch. Rational Mech. Anal. 100, 1275–312 (1988).

    Google Scholar 

  4. Angenent, S. and M. E. Gurtin, Multiphase thermomechanics with interfacial structure. 2. Evolution of an isothermal interface. Arch. Rational Mech. Anal., forthcoming.

    Google Scholar 

  5. Brakke, K. A., The Motion of a Surface by its Mean Curvature

    Google Scholar 

  6. Gage, M., Curve shortening makes convex curves curcular, Invent. Math. 76, 357–364 (1984)

    Article  Google Scholar 

  7. Gage, M., On an area preserving evolution equation for plane curves, Contemp. Math. 51, 51–62 (1986)

    Google Scholar 

  8. Gage, M. and R. S. Hamilton, The heat equation shrinking convex plane curves, J. Diff. Geom. 23, 69–96 (1986).

    Google Scholar 

  9. Grayson, M. A., The heat equation shrinks embedded plane curves to points, J. Diff. Geom. 26, 285–314 (1987).

    Google Scholar 

  10. Gjostein, N. A., Adsorption and surface energy 2: thermal faceting from minimization of surface energy, Act. Metall. 11, 969–978 (1963).

    Article  Google Scholar 

  11. Cahn, J. W. and D. W. Hoffman, A vector thermodynamics for anisotropic surfaces. 2. curved and faceted surfaces, Act. Metall. 22, 1205–1214 (1974).

    Article  Google Scholar 

  12. Wulff, G., Zur Frage der Geschwindigkeit des Wachsthums and der Auflosung der Krystallflachen, Zeit. Krystall. Min. 34, 449–530 (1901).

    Google Scholar 

  13. Herring, C., Some theorems on the free energies of crystal surfaces, Phys. Rev. 82, 87–93 (1951).

    Article  Google Scholar 

  14. Frank, F. C., The geometrical thermodynamics of surfaces, Metal Surfaces: Structure, Energetics, and Kinetics, Am. Soc. Metals, Metals Park, Ohio (1963).

    Google Scholar 

  15. Herring, C., Surface tension as a motivation for sintering, The Physics of Powder Metallurgy (ed. W. E. Kingston) McGraw-Hill, New York (1951).

    Google Scholar 

  16. Taylor, J. E., Crystalline variational problems, Bull. Am. Math. Soc. 84, 568–588 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

K. Kirchgässner

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Gurtin, M.E. (1990). On the isothermal motion of a phase interface. In: Kirchgässner, K. (eds) Problems Involving Change of Type. Lecture Notes in Physics, vol 359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52595-5_86

Download citation

  • DOI: https://doi.org/10.1007/3-540-52595-5_86

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52595-0

  • Online ISBN: 978-3-540-47049-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics